Write a set of parametric equations for the surface of revolution obtained by revolving the graph of the function about the given axis. (Enter your answers as a comma-separated list.) Function Axis of Revolution y = 0 ≤ x ≤ 20 ,0 ≤ x ≤ 20 x-axis

Q: Evaluate the integral and check your answer by differentiating. x² +8x4 1 x6 1² dx +C

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Q: Choose the value of the iterated double integral 1=₁6ydxdy. 0 0-2 O -1 0 1 I 02 O None of the others

A: This question is based on double integration.

Q: Find the average value of the function 1 2x + 5 on [1,4]. f(x) =

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Q: Find the directional derivative at (1,0) if Vƒ(1,0) = in the direction of the unit vector u = i?…

A: Given : ∇f(1,0)=<-4,3>   To Find: directional derivative at (1,0) in the direction of the unit…

Q: ;) Choose/box the correct statement. To evaluate x³ 3x² +1 dx x²-1 we begin the calculation by A.…

A: This question can be solved using the concept of decomposition of improper rational function.

Q: Solve the IVP: y" - 6y' + 8y = 0, y(0) = C

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Q: The integral ₁₁x – y dxdy is equal to: Select one: 0 O2 O None of them -2

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Q: 6. Find an equation of the tangent line to the curve at the indicated point: (t) = t cos(t), y(t) =…

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Q: (2x - y)dx(x + 4y)dy = 0

A: As per the rules, we can answer only the first question and other can be reposted.

Q: What is the value of the integral Select one: O 64 O 16 O None of these O 32 4 SS 0 X 08 2xydydx?

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Q: Find the work done by the force field F in moving an object from P(-3, 7) to Q(7,5). 2x F(x, y) = -

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (±5, 0), length of…

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Q: The maximum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is not equal to…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x3 (3x²+2)³ J…

A: Given: I=∫x33x4+23dx     ...1   As we know that; The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: egral f x²+x+2 dx (x-1)(x²+5)

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Q: (e) Determine whether the following series converges or diverges by using the comparison test: Σ 1=0

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Q: Which of the following is NOT a subspace of M22? O O W is the set of matrices of the form and z are…

A: Here is the answer:

Q: Find the area of the surface over the given region. Use a computer algebra system to verify your…

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Q: Model the data using an exponential function f(x) = Abx. f(x) = = X f(x) 0: 1 2 300 90 27

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Q: The double integral ydxdy equals: Select one: OA. 84 OB. 52 OC. 44 O D. 56 O E. None of them

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Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose…

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Q: Evaluate the integral 0 2 0 2-x xdydx.

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Given:      L-1ss-3s-4s-12 Taking Partial fractions of  ss-3s-4s-12

Q: The value of the integral Select one: a. 3 b. None of these d. / [1² 17/12 2y³ dx dy is

A: Evaluating the definite integral

Q: Use the given graph of f'(x) to find the intervals on which f(x) is increasing, the intervals on…

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Q: 1a) Convert the Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0 to polar coordinates. 1b) Use a…

A: By using the following substitution we can convert the Cartesian equation to polar form. x²+y²=r²…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Question correct for the series : Which of the following is Σ n=1 Select one: O equals 4. O None of…

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Q: The value of the integral Select one: a. 403 84 b. 127 21 c. 127 28 [² [²x³2 d. 83 21 e. None of…

A: The objective of the question is evaluate the double definite integral and choose the correct…

Q: 1 = x², x = 1 Given the region D in R2 enclosed by Sketch the region D Compute the iterated double…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Asymptotes: y = x, hyperbola…

A: To find an equation for the hyperbola that satisfies the given conditions.Asymptotes: y=±x,…

Q: 2x, y 3 and 0. Sketch the region R and evaluate the double Let R be the region bounded by y X =…

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Q: a) [ Sketch the region R. 1 b) [] Set up the double integral that represents the area of the region…

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Q: Describe the region D enclosed by:y=2, y=2r+2 and y=-2x + 2 as a region of type II: Select one: O D=…

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Q: b) [. Determine whether the series Σnº n=1 поент is convergent or divergent.

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Q: 1. Evaluate the following: (ª) [e² (√π +6³) d dx

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Q: Hint: Analytical answer is required to be uploaded in Moodle 1. Consider the differential equation…

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Q: The half-life of cobalt 60 is 5 years. (a) Obtain an exponential decay model for cobalt 60 in the…

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Q: Which of the following is not an improper? A B D Sªcot (x) dx © Sese(x C E S'tan (2) de dx csc (x)…

A: We know that an integral is called improper if one or both of the limits of integration are infinity…

Q: Given: f(x) = 2x³ + 6x² f(x) on [-1,3]. A. 165 B. 109 C. 57 D. 51 E. NO correct choices O O OO C D E…

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Q: Solve the exponential equation. Express the solution in terms of natural logarithms or common…

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Q: (g°N)(x) (fºg)(x) If f(x)= x-1 and g(x)= x², what is the first derivative of (f+g)(x) (g-n(x) +

A: To find out the derivative of the indicated function.

Q: Find the center of mass of the lamina bounded by the graphs of the equations x = 64-y² and x = 0 for…

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Q: Question 1 The region D is enclosed by + y = 2, ya, and y-axis. Give D as a type I region, and a…

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Q: Find all relative extrema. Use the Second-Derivative Test where applicable. (If an answer does not…

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Q: Let f(x, y) = 6 - x² + 2y²-5x - y. The point (,) is a saddle point of the function Select one: O…

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Q: What is the symmetry of f(x) = 2x4 - 5x² +9? Select one: a. odd b. neither O C. even

A: Solution of given question is written in below steps.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [t√4 t√4t² +…

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Q: Evaluate: lim- A. 1 B. e C. 0 D. DNE E. ∞ →2+ [(x² − 4) (-2)]

A: We know, ln(ab)=b*ln(a)

Q: The equation of the tangent plane to the surface x² z² at the point (-2, 1, 3) is Select one: + 2y.…

A: To find the equation of tangent plane.